Twining Carole, Marsland Stephen
Imaging Science and Biomedical Engineering, University of Manchester Manchester M13 9PT, UK.
Inf Process Med Imaging. 2003 Jul;18:413-25. doi: 10.1007/978-3-540-45087-0_35.
The analysis of deformation fields, such as those generated by non-rigid registration algorithms, is central to the quantification of normal and abnormal variation of structures in the registered images. The correct choice of representation is an integral part of this analysis. This paper presents methods for constructing a general class of multi-dimensional diffeomorphic representations of deformations. We demonstrate that these representations are suitable for the description of deformations of medical images in 2 and 3 dimensions. Furthermore, we show that the non-Euclidean metric inherent in this representation is superior to the usual ad hoc Euclidean metrics in that it enables more accurate classification of legal and illegal variations.
对变形场的分析，例如由非刚性配准算法生成的变形场，是定量分析配准图像中结构的正常和异常变化的核心。正确选择表示方法是该分析不可或缺的一部分。本文提出了构建一类通用的多维微分同胚变形表示的方法。我们证明这些表示适用于描述二维和三维医学图像的变形。此外，我们表明这种表示中固有的非欧几里得度量优于通常的临时欧几里得度量，因为它能够更准确地对合法和非法变化进行分类。
